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Finding the Fourth Proportional to 1,054.37, 1,579.35 and 847.82

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Solution

The fourth proportional to 1,054.37, 1,579.35 and 847.82 is: 1,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.37 : 1,579.35 = 847.82 : x
  2. Step 2: Convert to fraction form
    1,054.37/1,579.35 = 847.82/x
  3. Step 3: Cross multiply
    1,054.37x = 1,579.35 × 847.82
  4. Step 4: Simplify right side
    1,054.37x = 1,339,004.52
  5. Step 5: Solve for x
    x = 1,339,004.52/1,054.37
  6. Step 6: Final answer
    x = 1,269.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.